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Finding the Fourth Proportional to 1,355.61, 2,032.47 and 770.99

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Solution

The fourth proportional to 1,355.61, 2,032.47 and 770.99 is: 1,155.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.61 : 2,032.47 = 770.99 : x
  2. Step 2: Convert to fraction form
    1,355.61/2,032.47 = 770.99/x
  3. Step 3: Cross multiply
    1,355.61x = 2,032.47 × 770.99
  4. Step 4: Simplify right side
    1,355.61x = 1,567,019.13
  5. Step 5: Solve for x
    x = 1,567,019.13/1,355.61
  6. Step 6: Final answer
    x = 1,155.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.